A WASSERMANN at 11:51, 23 June 2020

2020-06-23T11:51:47Z

← Older revision		Revision as of 11:51, 23 June 2020
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	[[Category:Examples]]		[[Category:Examples]]

	[http://www.bookofproofs.org/branches/binomial-distribution/ read more about ~~bonomial~~ distribution on Bookofproofs]		[http://www.bookofproofs.org/branches/binomial-distribution/ read more about binomial distribution on Bookofproofs]

Bookofproofs at 18:44, 20 March 2016

2016-03-20T18:44:41Z

← Older revision		Revision as of 18:44, 20 March 2016
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	{\|		{\|
	\|Probability		\|Probability
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	var p18 = brd.create('point', [18, function() {return binomial(20, 18, prob.Value());}], {name:''});		var p18 = brd.create('point', [18, function() {return binomial(20, 18, prob.Value());}], {name:''});
	var p19 = brd.create('point', [19, function() {return binomial(20, 19, prob.Value());}], {name:''});		var p19 = brd.create('point', [19, function() {return binomial(20, 19, prob.Value());}], {name:''});
	var p20 = brd.create('point', [20, function() {return binomial(20, 20, prob.Value());}]);		var p20 = brd.create('point', [20, function() {return binomial(20, 20, prob.Value());}], {name:''});

Bookofproofs at 18:44, 20 March 2016

2016-03-20T18:44:14Z

← Older revision		Revision as of 18:44, 20 March 2016
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	The cosine is a projection of the complex number exp(−ix) (which is a point on the unit circle in the complex plane) to the real axis on the complex plane. In the following interactive figure, you can drag the point x on the real axis and observe the behaviour of the complex number exp(−ix) and the varying value of cosine(x).

	{\|		{\|

Bookofproofs: Created page with "The cosine is a projection of the complex number exp(−ix) (which is a point on the unit circle in the complex plane) to the real axis on the complex plane. In the following int..."

2016-03-20T18:44:00Z

Created page with "The cosine is a projection of the complex number exp(−ix) (which is a point on the unit circle in the complex plane) to the real axis on the complex plane. In the following int..."

New page

The cosine is a projection of the complex number exp(−ix) (which is a point on the unit circle in the complex plane) to the real axis on the complex plane. In the following interactive figure, you can drag the point x on the real axis and observe the behaviour of the complex number exp(−ix) and the varying value of cosine(x).

{|
|Probability
|Binomial Distribution
|-
| <jsxgraph box="box1" width="400" height="100">
var brd1 = JXG.JSXGraph.initBoard('box1', {boundingbox: [-0.3, 0, 1.3, -4], showNavigation:false, showCopyright: false, axis:false});
var prob = brd1.create('slider',[[0,-2],[1,-2],[0,.5,1]], {name:'p'});
</jsxgraph>
| <jsxgraph box="box" width="500" height="500">
var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 1.1, 21, -.1], axis:true, showCopyright:false});

brd1.addChild(brd);

var p0 = brd.create('point', [0, function() {return binomial(20, 0, prob.Value());}], {name:''});
var p1 = brd.create('point', [1, function() {return binomial(20, 1, prob.Value());}], {name:''});
var p2 = brd.create('point', [2, function() {return binomial(20, 2, prob.Value());}], {name:''});
var p3 = brd.create('point', [3, function() {return binomial(20, 3, prob.Value());}], {name:''});
var p4 = brd.create('point', [4, function() {return binomial(20, 4, prob.Value());}], {name:''});
var p5 = brd.create('point', [5, function() {return binomial(20, 5, prob.Value());}], {name:''});
var p6 = brd.create('point', [6, function() {return binomial(20, 6, prob.Value());}], {name:''});
var p7 = brd.create('point', [7, function() {return binomial(20, 7, prob.Value());}], {name:''});
var p8 = brd.create('point', [8, function() {return binomial(20, 8, prob.Value());}], {name:''});
var p9 = brd.create('point', [9, function() {return binomial(20, 9, prob.Value());}], {name:''});
var p10 = brd.create('point', [10, function() {return binomial(20, 10, prob.Value());}], {name:''});
var p11 = brd.create('point', [11, function() {return binomial(20, 11, prob.Value());}], {name:''});
var p12 = brd.create('point', [12, function() {return binomial(20, 12, prob.Value());}], {name:''});
var p13 = brd.create('point', [13, function() {return binomial(20, 13, prob.Value());}], {name:''});
var p14 = brd.create('point', [14, function() {return binomial(20, 14, prob.Value());}], {name:''});
var p15 = brd.create('point', [15, function() {return binomial(20, 15, prob.Value());}], {name:''});
var p16 = brd.create('point', [16, function() {return binomial(20, 16, prob.Value());}], {name:''});
var p17 = brd.create('point', [17, function() {return binomial(20, 17, prob.Value());}], {name:''});
var p18 = brd.create('point', [18, function() {return binomial(20, 18, prob.Value());}], {name:''});
var p19 = brd.create('point', [19, function() {return binomial(20, 19, prob.Value());}], {name:''});
var p20 = brd.create('point', [20, function() {return binomial(20, 20, prob.Value());}]);

var f = brd.create('functiongraph',[function(x){
var dist=0;

for (n=0; n < 20 + 1; n++) {
if (x < n) {
return dist;
}
dist=dist+binomial(20, n, prob.Value());
}
return dist;
}]);

function binomial(n, k, p) {

var coeff = 1;

for (var x = n - k + 1; x < n+1; x++) {
coeff *= x;
}
for (x = 1; x < k+1; x++) {
coeff /= x;
}

var p1=1;
var p2=1;

for (x=0; x < k; x++) {
p1=p1*p;
}

for (x=0; x < n-k; x++) {
p2=p2*(1-p);
}

return coeff*p1*p2;
}

</jsxgraph>
|}

[[Category:Contributions]]
[[Category:Examples]]

[http://www.bookofproofs.org/branches/binomial-distribution/ read more about bonomial distribution on Bookofproofs]

Binomial distribution - Revision history

A WASSERMANN at 11:51, 23 June 2020

Bookofproofs at 18:44, 20 March 2016

Bookofproofs at 18:44, 20 March 2016

Bookofproofs: Created page with "The cosine is a projection of the complex number exp(−ix) (which is a point on the unit circle in the complex plane) to the real axis on the complex plane. In the following int..."